Search a number
-
+
90780732 = 22327253971
BaseRepresentation
bin1010110100100…
…11010000111100
320022211010202100
411122103100330
5141214440412
613001425100
72151423600
oct532232074
9208733670
1090780732
11472749a9
122649b190
1315a66413
14c0b1500
157e82edc
hex569343c

90780732 has 108 divisors (see below), whose sum is σ = 272255256. Its totient is φ = 25421760.

The previous prime is 90780709. The next prime is 90780737. The reversal of 90780732 is 23708709.

It is a super-2 number, since 2×907807322 = 16482282604911648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90780737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93007 + ... + 93977.

It is an arithmetic number, because the mean of its divisors is an integer number (2520882).

Almost surely, 290780732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90780732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136127628).

90780732 is an abundant number, since it is smaller than the sum of its proper divisors (181474524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90780732 is a wasteful number, since it uses less digits than its factorization.

90780732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 90780732 is about 9527.8923167718. The cubic root of 90780732 is about 449.4325885472.

The spelling of 90780732 in words is "ninety million, seven hundred eighty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 53 63 84 98 106 126 147 159 196 212 252 294 318 371 441 477 588 636 742 882 954 971 1113 1484 1764 1908 1942 2226 2597 2913 3339 3884 4452 5194 5826 6678 6797 7791 8739 10388 11652 13356 13594 15582 17478 20391 23373 27188 31164 34956 40782 46746 47579 51463 61173 81564 93492 95158 102926 122346 142737 154389 190316 205852 244692 285474 308778 360241 428211 463167 570948 617556 720482 856422 926334 1080723 1440964 1712844 1852668 2161446 2521687 3242169 4322892 5043374 6484338 7565061 10086748 12968676 15130122 22695183 30260244 45390366 90780732